Q. For hydrogen atom, the orbital/s with lowest energy is/are : (A) $4s$ (B) $3p_x$ (C) $3d_{x^2-y^2}$ (D) $3d_{z^2}$ (E) $4p_z$ Choose the correct answer from the options given below :

A) (B), (C) and (D) only
B) (A) and (E) only
C) (A) only
D) (B) only
Explanation

[Solution by Dr. Abubacker] In a one-electron atom the energy depends only on $n$ ($E_n\propto-\frac1{n^2}$). The orbitals with the lowest $n$ are $3p_x$, $3d_{x^2-y^2}$ and $3d_{z^2}$ ($n=3$), which lie below $4s$ and $4p_z$ ($n=4$). Answer (1).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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